B ( MARK ME AS THE BRAINLIEST)
Step-by-step explanation:
To find the length of leg AB, the Pythagorean Theorem should be used. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse. For this reason, a2 + 72 = 82, or a2 + 49 = 64, where a is the length of leg AB. If 49 is subtracted from both sides of the equation, and if the square root is then taken of both sides, a is found to be 15. Also, the sine of an angle equals the length of the leg opposite the angle divided by the length of hypotenuse, or Â
length of opposite leg
length of hypotenuse
. Therefore, since the length of the hypotenuse is 8 and the length of the leg opposite angle C is Â
15
, the sine of angle C is Â
15
8